Travelling wave and non-travelling wave solutions of nonlinear evolution equation via new generalized and Improved (G'/G) - expansion method

Abstract

In this thesis, we have applied the new extension of the generalized and improved ( G' / G) - expansion method in order to find the explicit solutions of non-travelling and travelling wave solutions of Fisher equation. Many new general and abundant solutions are obtained and they have been described in five different families in terms of hyperbolic functions, trigonometric functions and rational functions, involving many new and real parameters. It also shows that the method which has been applied is direct, concise and an effective tool for solving any kinds of nonlinear evolution equations, which arises frequently in applied mathematics, mathematical physics, engineering and in many scientific real time application. Furthermore we have presented the graphical solutions of the obtained solutions by using the computational software Maple.